Greatest Common Factor of 4026/28, 8756/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4026/28, 8756/492

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 4026/28,8756/492

Given fractions are 4026/28,8756/492

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 4026,8756

Greatest Common Factor of Numerators i.e. GCF of 4026,8756 is 22 .

LCM of Denominators means LCM of 28,492 as per the given fractions.

LCM of 28,492 is 3444 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4026,8756

GCF of Fractions 4026/28,8756/492 is 22/3444

2 4026, 8756
11 2013, 4378
183, 398

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 4026,8756 By Matching Biggest Common Factor Method

Greatest Common Factor of 4026,8756 By Matching Biggest Common Factor Method

Factors of 4026

List of positive integer factors of 4026 that divides 4026 without a remainder.

1,2,3,6,11,22,33,61,66,122,183,366,671,1342,2013,4026

Factors of 8756

List of positive integer factors of 8756 that divides 8756 without a remainder.

1,2,4,11,22,44,199,398,796,2189,4378,8756

Greatest Common Factor

We found the factors 4026,8756 . The biggest common factor number is the GCF number.
So the greatest common factor 4026,8756 is 22.

Lets's calculate LCM of 28,492

2 28, 492
2 14, 246
7, 123

∴ So the LCM of the given numbers is 2 x 2 x 7 x 123 = 3444

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/3444

Therefore, the GCF of Fractions 4026/28,8756/492 is 22/3444

Least Common Multiple of 28,492 with GCF Formula

Least Common Multiple of 28,492 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 28,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,492) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(28,492) x common factors =4 x 1 = 4

LCM(28,492) = ( 28 × 492 ) / 4

LCM(28,492) = 13776 / 4

LCM(28,492) = 3444


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 4026/28, 8756/492

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 4026/28, 8756/492?

Answer: GCF of Numerators as per given numbers 4026/28, 8756/492 is

GCF of Numerators i.e. for 4026,8756 is 22

LCM of denominators i.e. for 28,492 is 3444.

Thus, GCF of Fractions is 22/3444.Finally, GCF of Fractions for 4026/28, 8756/492 is 22/3444.